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Finding the Fourth Proportional to 309,491.84, 424,317.28 and 303,893.12

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Solution

The fourth proportional to 309,491.84, 424,317.28 and 303,893.12 is: 416,641.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,491.84 : 424,317.28 = 303,893.12 : x
  2. Step 2: Convert to fraction form
    309,491.84/424,317.28 = 303,893.12/x
  3. Step 3: Cross multiply
    309,491.84x = 424,317.28 × 303,893.12
  4. Step 4: Simplify right side
    309,491.84x = 128,947,102,089.11
  5. Step 5: Solve for x
    x = 128,947,102,089.11/309,491.84
  6. Step 6: Final answer
    x = 416,641.36

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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.